Efficiency of Healthcare Financing: Case of European Countries
Abstract
:1. Introduction
2. Materials and Methods
2.1. Research Variables
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- Capital health expenditure to GDP ratio, % (Cap);
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- Domestic general government health expenditure to current health expenditure ratio, % (Dom_gov);
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- Domestic private health expenditure to current health expenditure ratio, % (Dom_prv);
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- External health expenditure to current health expenditure ratio, % (Ext);
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- Out-of-pocket expenditure to current health expenditure ratio, % (OoP).
2.2. Data Sources
2.3. Stages of Investigation
- (1)
- determining the efficiency of healthcare financing using stochastic frontier analysis;
- (2)
- clustering of countries considering options of healthcare financing; qualitative analysis of clusters and identifying specific features for each model of healthcare financing, characteristic of each of the clusters;
- (3)
- substantiating additional determinants of the efficiency of healthcare financing through the formalisation of temporal and causal patterns in the chain “healthcare financing → life expectancy” based on distributional-lag modelling; generalisation and qualitative interpretation of the modelling results, formation of recommendations for each cluster/model of healthcare financing regarding ways to improve its efficiency.
- Determining the efficiency of healthcare financing in scientific research is traditionally carried out using two tools—Data Envelopment Analysis (DEA) (Charnes et al. 1978; Afonso and Aubyn 2011; Karagiannis 2015; Tigga and Mishra 2015; Kaya Samut and Cafrı 2016; Stefko et al. 2018; Ahmed et al. 2019; Chitnis and Mishra 2019; Kohl et al. 2019; Hamzah et al. 2021; Arhin et al. 2023a) and Stochastic Frontier Analysis (Newhouse 1994; Skinner 1994; Kumbhakar and Lovell 2000; Hollingsworth 2003; Greene 2004; Luis Orea and Kumbhakar 2004; Rosko and Mutter 2008; Hamidi and Akinci 2016; Izón and Pardini 2017; Bashir et al. 2022; Arhin et al. 2023b; Bala et al. 2023; Kang et al. 2023; Sülkü et al. 2023). The difference between these approaches is that DEA determines the frontier based on the level of indicators achieved. In contrast, Stochastic Frontier Analysis calculates the frontier considering the most successful combination of input and output factors. In contrast, the inefficiency parameter determines the deviation of the actual level of the indicator from the potentially possible maximum. Thus, in the first case, there will necessarily be a country with 100% efficiency among the calculated values of technical efficiency. In contrast, in the second case, as a rule, none of the countries will have absolute efficiency. In previous studies, the authors calculated the efficiency of healthcare financing using DEA for the same sample of 34 European countries. In particular, according to the results of this analysis, the technical efficiency of healthcare financing is in the range of [0.92; 1.00], while for 15 out of 34 countries, the indicator is the maximum. Thus, the DEA approach did not allow for the identification of absolute flagships since the variation between the levels of efficiency of healthcare financing in the studied European countries is insignificant. That is why, as part of this study, the level of efficiency of healthcare financing will be evaluated using Stochastic Frontier Analysis, that is, based on the assumption that no country currently functions on the frontier but, on the contrary, has the potential for growth due to the elimination of those prerequisites that create inefficiency. The efficiency of healthcare financing will be determined using the command “xtfrontier” in the Stata 14.2/SE software product.
- Clustering of countries according to the criterion of financing the healthcare system will be carried out based on the factor (input) variables specified above, using the command “xtregcluster” in Stata 14.2/SE software product. The methodology of this approach was developed (Sarafidis and Weber 2015), and the specifics of the application are described in detail in the work (Christodoulou and Sarafidis 2017). The above command allows the grouping of objects into clusters, for each of which the slope coefficient is homogeneous. The two-way structure of the error components explains the within-cluster heterogeneity. Furthermore, the slope coefficients vary across groups. The number of clusters is considered unknown and determined from the data based on minimising an information criterion for a rigorously consistent model (Christodoulou and Sarafidis 2017). A qualitative analysis of the efficiency of healthcare financing within each cluster will allow for formalising the specific features. These specific features determine the healthcare system’s financial support models
- Identifying the additional determinants of the efficiency of healthcare financing through the formalisation of temporal and causal patterns in the chain “healthcare financing → life expectancy”. The distributed-lag modelling in Stata 14.2/SE software product is used. It is tested for causal relationships between input and output variables with a 0–3-year lag.
3. Results
3.1. Determining the Efficiency of Financing the Healthcare System
3.2. Clustering of Countries according to the Criterion of Financing the Healthcare System
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- The model of financial support of the healthcare system of the countries in the first cluster is characterised by a moderate amount of capital expenditures for healthcare, external healthcare expenditures, and current out-of-pocket expenditures, while the ratio of public funding of the healthcare system to private funding is approximately 73% vs. 27%; all this makes it possible to ensure relatively high efficiency of healthcare financing within 66.4%;
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- The model of healthcare financing of the countries in the second cluster is characterised by the minimum level of capital expenditures on healthcare but the maximum level of external healthcare expenditures and current out-of-pocket expenditures, while the ratio of public financing of the healthcare system to private funding is very similar to model 3 at 68% vs. 32%; the efficiency of healthcare financing is the lowest among the three clusters—65.6% on average;
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- The model of healthcare financing of the countries in the third cluster is characterised by the maximum level of capital expenditures on healthcare but the minimum level of external healthcare expenditures and current out-of-pocket expenditures, while the ratio of public financing of the healthcare system to private financing is 67% vs. 33%; the efficiency of healthcare financing is the highest and is 68.1% on average.
3.3. Formalisation of Temporal and Causal Patterns in the Chain “Healthcare Financing → Life Expectancy”
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- A positive, considerable, and statistically significant impact of the growth of capital healthcare expenditures on both without a lag and with a lag of 1–3 years (the most qualitative relationship from an econometric point of view is in the model with a lag of 3 years: an increase in capital healthcare expenditures in GDP by 1% causes an increase in the life expectancy of the population in the countries of the first cluster by 2.5 years);
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- The statistical significance of the positive impact of the increase in the specific weight of domestic government and private healthcare expenditures in current expenditures on life expectancy is manifested only with a lag of 3 years;
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- The growth of external healthcare expenditures harms the life expectancy of the population, and this relationship is statistically significant without time lags;
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- An increase in the specific weight of out-of-pocket expenditures in the structure of current healthcare expenditures hurts the population’s life expectancy. At the same time, the best statistical quality of the relationship is realised with a lag of 2 years when the influence of the indicator is the highest.
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- The positive effect of the growth of capital healthcare expenditures on the increase in life expectancy was confirmed without a lag and with a lag of 1 year. However, the most statistically significant result is precisely without a lag, in which a 1% increase in the specific weight of capital expenditures in GDP leads to an increase in life expectancy in the countries of the second cluster by 2.07 years;
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- An interesting fact is that the growth of the specific weight of public, private and external healthcare expenditures in current expenditures without a time lag is characterised by a statistically significant negative impact on life expectancy in the countries of the second cluster; however, their growth with a lag of 3 years is accompanied by a significant growth in life expectancy. An increase in the specific weight of out-of-pocket expenditures in the structure of current healthcare expenditures negatively affected life expectancy of the population at all time intervals (the most statistically significant result is without a time lag, while with an increase in the lag, the quality and strength of the relationships worsen).
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- The positive effect of the increase in capital healthcare expenditures on the increase in life expectancy is statistically significant at all time intervals; however, this relationship is most qualitative in the model without a time lag, i.e., a 1% increase in the specific weight of capital expenditures in GDP is accompanied by an increase in life expectancy of 1.6 years almost instantaneously;
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- Instead, the growth of the specific weight of public, private and external healthcare expenditures in current expenditures acts as a destructive determinant of changes in life expectancy; this effect is most strongly realised without a lag and with a lag of 1 year;
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- An increase in the specific weight of out-of-pocket expenditures in current expenditures by 1% leads to a reduction in life expectancy without a time lag of 0.21 years.
4. Discussion
5. Conclusions
Author Contributions
Funding
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Country | Life | Cap | Dom_gov | Dom_prv | Ext | OoP |
---|---|---|---|---|---|---|
Switzerland | 82.19 | 0.0000 | 31.5796 | 68.4227 | 0.0000 | 26.9501 |
Iceland | 81.91 | 0.2236 | 81.3416 | 18.6598 | 0.0000 | 17.3290 |
Italy | 81.83 | 0.0000 | 75.6094 | 24.3909 | 0.0000 | 22.7787 |
Spain | 81.65 | 0.2062 | 71.7150 | 28.2852 | 0.0000 | 21.9894 |
Sweden | 81.42 | 0.5058 | 83.5850 | 16.4150 | 0.0000 | 15.3105 |
France | 81.35 | 0.5156 | 72.6140 | 27.3874 | 0.0000 | 9.0714 |
Norway | 81.14 | 0.5236 | 84.3744 | 15.6232 | 0.0071 | 15.3263 |
Netherlands | 80.44 | 1.9915 | 67.4390 | 32.5546 | 0.0076 | 10.1740 |
Austria | 80.41 | 0.6741 | 72.8166 | 27.1836 | 0.0000 | 19.0095 |
Ireland | 80.25 | 0.4372 | 75.5215 | 24.4804 | 0.0000 | 12.6420 |
Greece | 80.22 | 0.2669 | 58.8503 | 40.9447 | 0.2393 | 34.7300 |
Finland | 80.14 | 0.3712 | 78.5303 | 21.4700 | 0.0040 | 18.8663 |
Belgium | 80.04 | 0.0000 | 75.7000 | 24.3010 | 0.0000 | 19.5197 |
United Kingdom | 80.04 | 0.3451 | 80.0326 | 19.9592 | 0.0099 | 15.6671 |
Germany | 79.91 | 0.0000 | 76.6903 | 23.3096 | 0.0000 | 13.3511 |
Portugal | 79.44 | 0.0000 | 64.5329 | 35.4241 | 0.0569 | 27.1651 |
Denmark | 79.29 | 0.5193 | 83.8005 | 16.1995 | 0.0000 | 14.2786 |
Slovenia | 79.15 | 0.4116 | 71.7338 | 28.2664 | 0.0000 | 12.4559 |
Albania | 77.53 | 0.1607 | 47.4298 | 49.9479 | 2.7105 | 49.9228 |
Czechia | 77.33 | 0.1664 | 83.9111 | 16.1065 | 0.0000 | 13.3975 |
Croatia | 76.42 | 0.2731 | 82.8753 | 17.1258 | 0.0020 | 12.9097 |
Bosnia and Herzegovina | 76.26 | 0.1921 | 64.6470 | 34.0852 | 1.3183 | 33.8862 |
Poland | 76.12 | 0.3977 | 69.9928 | 29.9852 | 0.0492 | 24.7800 |
Slovak Republic | 75.44 | 0.3245 | 77.6439 | 22.3793 | 0.0000 | 19.6066 |
Estonia | 75.04 | 0.2331 | 75.2164 | 24.4618 | 0.3769 | 22.3006 |
North Macedonia | 74.72 | 0.2328 | 59.5186 | 39.2516 | 1.2611 | 38.5556 |
Hungary | 74.27 | 0.2339 | 68.0203 | 31.9798 | 0.0000 | 27.3889 |
Serbia | 74.10 | 0.2426 | 61.9599 | 37.3420 | 0.8543 | 34.5619 |
Bulgaria | 73.50 | 0.1261 | 56.8769 | 43.1231 | 0.0000 | 41.6384 |
Romania | 73.47 | 0.2809 | 79.1402 | 20.7843 | 0.1119 | 19.8208 |
Lithuania | 73.32 | 0.2514 | 67.1325 | 32.6969 | 0.1752 | 30.1525 |
Latvia | 73.09 | 0.4920 | 57.8030 | 42.0944 | 0.2350 | 40.0571 |
Ukraine | 69.85 | 0.2695 | 51.3291 | 48.0014 | 0.6747 | 44.8947 |
Moldova | 68.97 | 0.5405 | 50.5090 | 44.0483 | 5.4609 | 43.2061 |
Average | 77.66 | 0.3356 | 69.4257 | 30.1968 | 0.3987 | 24.2263 |
Indicator | Cluster 1 | Cluster 2 | Cluster 3 |
---|---|---|---|
Capital health expenditure (% of GDP) | 0.3502 | 0.2530 | 1.9915 |
Domestic general government health expenditure (% of current health expenditure) | 72.8606 | 67.7985 | 67.4390 |
Domestic private health expenditure (% of current health expenditure) | 26.7790 | 31.7985 | 32.5546 |
External health expenditure (% of current health expenditure) | 0.3882 | 0.4217 | 0.0076 |
Out-of-pocket expenditure (% of current health expenditure) | 23.7097 | 25.1233 | 10.1740 |
Healthcare financing technical efficiency, units | 0.6639 | 0.6562 | 0.6808 |
Variables | Without Lag | 1-Year Lag | 2-Years Lag | 3-Years Lag |
---|---|---|---|---|
Cap | 2.0304 ** (0.831) | 1.9254 ** (0.8492) | 2.2091 *** (0.851) | 2.4983 *** (0.8479) |
Dom_gov | −1.5362 * (0.7956) | −0.6093 (0.8228) | 1.1957 (0.8302) | 1.6588 ** (0.8367) |
Dom_prv | −1.1701 (0.7946) | −0.222 (0.8217) | 1.6207 * (0.8304) | 2.0871 ** (0.8388) |
Ext | −1.8984 ** (0.8253) | −1.0048 (0.8564) | 0.8078 (0.862) | 1.2793 (0.8687) |
Oop | −0.4345 *** (0.0637) | −0.4484 *** (0.0658) | −0.476 *** (0.0666) | −0.4532 *** (0.0651) |
R2 | 0.4192 | 0.3853 | 0.3469 | 0.3099 |
Prob > chi2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Obs. | 242 | 231 | 220 | 209 |
Variables | Without Lag | 1-Year Lag | 2-Years Lag | 3-Years Lag |
---|---|---|---|---|
Cap | 2.0699 *** (0.6081) | 1.6258 *** (0.625) | 1.3835 ** (0.6534) | 1.2054 * (0.6556) |
Dom_gov | −1.545 ** (0.7038) | −0.9705 (0.7964) | 0.739 (0.9676) | 4.4009 *** (1.3318) |
Dom_prv | −1.3771 ** (0.6993) | −0.81 (0.7918) | 0.8859 (0.9627) | 4.5147 *** (1.3251) |
Ext | −1.5469 ** (0.7098) | −0.9261 (0.8024) | 0.7668 (0.9734) | 4.4342 ** (0.8687) |
Oop | −0.163 *** (0.0433) | −0.1476 *** (0.0446) | −0.1262 *** (0.0458) | −0.0963 ** (0.0455) |
R2 | 0.4740 | 0.3402 | 0.3146 | 0.3099 |
Prob > chi2 | 0.0000 | 0.0001 | 0.0016 | 0.0001 |
Obs. | 484 | 462 | 440 | 418 |
Variables | Without Lag | 1-Year Lag | 2-Years Lag | 3-Years Lag |
---|---|---|---|---|
Cap | 1.5724 *** (0.1933) | 1.3785 *** (0.2501) | 1.449 *** (0.2374) | 1.4066 *** (0.6556) |
Dom_gov | −7.0886 *** (1.6836) | −6.4607 *** (1.2071) | −4.9285 ** (1.5454) | −4.5332 ** (1.7634) |
Dom_prv | −7.9105 *** (1.7244) | −6.2392 *** (1.2564) | −4.745 ** (1.587) | −4.3226 ** (1.7993) |
Ext | −16.3418 *** (2.2485) | −12.0143 *** (2.446) | −11.4101 *** (2.6268) | −10.6528 *** (2.3652) |
Oop | −0.2027 ** (0.0899) | −0.1151 (0.1176) | −0.0373 (0.1125) | 0.0166 (0.1106) |
R2 | 0.9495 | 0.9286 | 0.9455 | 0.9503 |
Prob > chi2 | 0.0000 | 0.0000 | 0.0000 | 0.0000 |
Obs. | 22 | 21 | 20 | 19 |
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Kwilinski, A.; Vysochyna, A. Efficiency of Healthcare Financing: Case of European Countries. Int. J. Financial Stud. 2024, 12, 87. https://doi.org/10.3390/ijfs12030087
Kwilinski A, Vysochyna A. Efficiency of Healthcare Financing: Case of European Countries. International Journal of Financial Studies. 2024; 12(3):87. https://doi.org/10.3390/ijfs12030087
Chicago/Turabian StyleKwilinski, Aleksy, and Alina Vysochyna. 2024. "Efficiency of Healthcare Financing: Case of European Countries" International Journal of Financial Studies 12, no. 3: 87. https://doi.org/10.3390/ijfs12030087
APA StyleKwilinski, A., & Vysochyna, A. (2024). Efficiency of Healthcare Financing: Case of European Countries. International Journal of Financial Studies, 12(3), 87. https://doi.org/10.3390/ijfs12030087